Efficient Calculation of Distance Transform on Discrete Global Grid Systems

Geospatial data analysis often requires the computing of a distance transform for a given vector feature. For instance, in wildfire management, it is helpful to find the distance of all points in an area from the wildfire’s boundary. Computing a distance transform on traditional Geographic Informati...

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Main Authors: Meysam Kazemi, Lakin Wecker, Faramarz Samavati
Format: Article
Language:English
Published: MDPI AG 2022-05-01
Series:ISPRS International Journal of Geo-Information
Subjects:
Online Access:https://www.mdpi.com/2220-9964/11/6/322
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author Meysam Kazemi
Lakin Wecker
Faramarz Samavati
author_facet Meysam Kazemi
Lakin Wecker
Faramarz Samavati
author_sort Meysam Kazemi
collection DOAJ
description Geospatial data analysis often requires the computing of a distance transform for a given vector feature. For instance, in wildfire management, it is helpful to find the distance of all points in an area from the wildfire’s boundary. Computing a distance transform on traditional Geographic Information Systems (GIS) is usually adopted from image processing methods, albeit prone to distortion resulting from flat maps. Discrete Global Grid Systems (DGGS) are relatively new low-distortion globe-based GIS that discretize the Earth into highly regular cells using multiresolution grids. In this paper, we introduce an efficient distance transform algorithm for DGGS. Our novel algorithm heavily exploits the hierarchy of a DGGS and its mathematical properties and applies to many different DGGSs. We evaluate our method by comparing its speed and distortion with the distance transform methods used in traditional GIS and general 3D meshes. We demonstrate that our method is efficient and has minimal distortion.
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spelling doaj.art-e5417b010769402c9fd95f094d29ef522023-11-23T16:58:46ZengMDPI AGISPRS International Journal of Geo-Information2220-99642022-05-0111632210.3390/ijgi11060322Efficient Calculation of Distance Transform on Discrete Global Grid SystemsMeysam Kazemi0Lakin Wecker1Faramarz Samavati2Department of Computer Science, University of Calgary, Calgary, AB T2N 1N4, CanadaDepartment of Computer Science, University of Calgary, Calgary, AB T2N 1N4, CanadaDepartment of Computer Science, University of Calgary, Calgary, AB T2N 1N4, CanadaGeospatial data analysis often requires the computing of a distance transform for a given vector feature. For instance, in wildfire management, it is helpful to find the distance of all points in an area from the wildfire’s boundary. Computing a distance transform on traditional Geographic Information Systems (GIS) is usually adopted from image processing methods, albeit prone to distortion resulting from flat maps. Discrete Global Grid Systems (DGGS) are relatively new low-distortion globe-based GIS that discretize the Earth into highly regular cells using multiresolution grids. In this paper, we introduce an efficient distance transform algorithm for DGGS. Our novel algorithm heavily exploits the hierarchy of a DGGS and its mathematical properties and applies to many different DGGSs. We evaluate our method by comparing its speed and distortion with the distance transform methods used in traditional GIS and general 3D meshes. We demonstrate that our method is efficient and has minimal distortion.https://www.mdpi.com/2220-9964/11/6/322distance transformDiscrete Global Grid SystemsGeographical Information Systems
spellingShingle Meysam Kazemi
Lakin Wecker
Faramarz Samavati
Efficient Calculation of Distance Transform on Discrete Global Grid Systems
ISPRS International Journal of Geo-Information
distance transform
Discrete Global Grid Systems
Geographical Information Systems
title Efficient Calculation of Distance Transform on Discrete Global Grid Systems
title_full Efficient Calculation of Distance Transform on Discrete Global Grid Systems
title_fullStr Efficient Calculation of Distance Transform on Discrete Global Grid Systems
title_full_unstemmed Efficient Calculation of Distance Transform on Discrete Global Grid Systems
title_short Efficient Calculation of Distance Transform on Discrete Global Grid Systems
title_sort efficient calculation of distance transform on discrete global grid systems
topic distance transform
Discrete Global Grid Systems
Geographical Information Systems
url https://www.mdpi.com/2220-9964/11/6/322
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AT lakinwecker efficientcalculationofdistancetransformondiscreteglobalgridsystems
AT faramarzsamavati efficientcalculationofdistancetransformondiscreteglobalgridsystems